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Finding the Fourth Proportional to 866.96, 1,196.32 and 473.98

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Solution

The fourth proportional to 866.96, 1,196.32 and 473.98 is: 654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.96 : 1,196.32 = 473.98 : x
  2. Step 2: Convert to fraction form
    866.96/1,196.32 = 473.98/x
  3. Step 3: Cross multiply
    866.96x = 1,196.32 × 473.98
  4. Step 4: Simplify right side
    866.96x = 567,031.75
  5. Step 5: Solve for x
    x = 567,031.75/866.96
  6. Step 6: Final answer
    x = 654.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.